8.2 A parallel plate capacitor (Fig. 8.7) made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad s–1.

(a) What is the rms value of the conduction current?

(b) Is the conduction current equal to the displacement current?

(c) Determine the amplitude of B at a point 3.0 cm from the axis between the plates.

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Payal Gupta | Contributor-Level 10

7 months ago

8.2 Radius of each circular plate, R = 6.0 cm = 0.06 m

Capacitance of parallel capacitor, C = 100 pF = 100 $* 10^{- 12}$ F

Supply voltage, V = 230 V

Angular frequency, $ω$ = 300 rad/s

rms value of the conduction current, I = $\frac{V}{X_{c}}$ , where $X_{c} = c a p a c i t i v e r e a c t a n c e = \frac{1}{ω C}$

Hence, I = V $* ω * C$ = 230 $* 300 *$ 100 $* 10^{- 12}$ = 6.9 $* 10^{- 6}$ A = 6.9 $μ A$

Yes, the conduction current is equal to th

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